On the weakly(α, ψ, ξ)-contractive condition for multi-valued operators in metric spaces and related fixed point results-Reference-Cited by-同舟云学术

On the weakly(α, ψ, ξ)-contractive condition for multi-valued operators in metric spaces and related fixed point results

Published:2016-01-01 Issue:1 Volume:14 Page:167-180
ISSN:2391-5455
Container-title:Open Mathematics
language:
Short-container-title:

Author:

Kutbi Marwan Amin¹,Sintunavarat Wutiphol²

Affiliation:

1. 1Department of Mathematics, King Abdulaziz University, P.O.Box 80203, Jeddah 21589, Arabia

2. 2Department of Mathematics and Statistics, Faculty of Science and Technology, Thammasat University Rangsit Center, Pathumthani 12121, Thailand. E-mail: poom_teun@hotmail.com

Abstract

AbstractThe aim of this paper is to introduce the concept of a new nonlinear multi-valued mapping so called weakly (α, ψ, ξ)-contractive mapping and prove fixed point results for such mappings in metric spaces. Our results unify, generalize and complement various results from the literature. We give some examples which support our main results while previous results in literature are not applicable. Also, we analyze the existence of fixed points for mappings satisfying a general contractive inequality of integral type. Many fixed point results for multi-valued mappings in metric spaces endowed with an arbitrary binary relation and metric spaces endowed with graph are given here to illustrate the results in this paper.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2016-0013/pdf

Reference16 articles.

1. Modifiedα - ψ - contractive mappings with applications Fixed Point SalimiPLatifAHussainNModifiedα - ψ - contractive mappings with applicationsFixed Point Theory;Salimi;Theory Appl Appl,2013

2. Fixed point ofα - ψ - contractive type mappings in uniform spaces Fixed Point UKamranTKarapinarEFixed point ofα - ψ - contractive type mappings in uniform spacesFixed Point Theory;Ali;Theory Appl Appl,2014

3. Fixed points of generalizedα - ψ - contractions Exactas Fis A Mat AmiriPRezapourSShahzadNFixed points of generalizedα - ψ - contractionsRev Exactas Fis A Mat;Amiri;Rev Acad Acad,2014

4. Rezapour and Shahzad Some results on Fixed points ofα - ψ - Ciric generalized multifunctions Fixed Point MohammadiBRezapourSShahzadNSome results on Fixed points ofα - ψ - Ciric generalized multifunctionsFixed Point Theory;Mohammadi;Theory Appl Appl,2013

5. Fixed - point theorems forα - ψ - contractive type mappings Nonlinear Anal SametBVetroCVetroPFixed - point theorems forα - ψ - contractive type mappingsNonlinear;Samet;Anal,2012

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. An $$(\alpha ,\vartheta )$$ ( α , ϑ ) -admissibility and Theorems for Fixed Points of Self-maps;Econometrics for Financial Applications;2017-12-20